R1 = {(2,2), (2, 3), (2, 4), (3, 2), (3, 3), (3,4)}, R2 = {(1,1), (1,2), (2, 1), (2, 2), (3, 3), (4, 4)}, R3 = {(2,4), (4, 2)} , R4 = {(1,2), (2, 3), (3, 4)}, R5 = {(1, 1), (2, 2), (3, 3), (4, 4)}, R6 = {(1,3), (1,4), (2, 3), (2, 4), (3, 1), (3, 4)}, %3| Determine which of these statements are correct. Check ALL correct answers below. A. R4 is symmetric B. R2 is reflexive C. R1 is reflexive D. R5 is transitive E. R4 is transitive F. R3 is symmetric G. R3 is transitive H. R2 is not transitive I. R6 is symmetric J. R5 is not reflexive K. R3 is reflexive L. R1 is not symmetric M. R4 is antisymmetric

College Algebra
1st Edition
ISBN:9781938168383
Author:Jay Abramson
Publisher:Jay Abramson
Chapter9: Sequences, Probability And Counting Theory
Section9.5: Counting Principles
Problem 46SE: How many ways can a committee of 3 freshmen and 4 juniors be formed from a group of 8 freshmen and...
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Suppose that

R1={(2,2),(2,3),(2,4),(3,2),(3,3),(3,4)},R1={(2,2),(2,3),(2,4),(3,2),(3,3),(3,4)},
R2={(1,1),(1,2),(2,1),(2,2),(3,3),(4,4)},R2={(1,1),(1,2),(2,1),(2,2),(3,3),(4,4)},
R3={(2,4),(4,2)}R3={(2,4),(4,2)} ,
R4={(1,2),(2,3),(3,4)}R4={(1,2),(2,3),(3,4)},
R5={(1,1),(2,2),(3,3),(4,4)},R5={(1,1),(2,2),(3,3),(4,4)},
R6={(1,3),(1,4),(2,3),(2,4),(3,1),(3,4)},R6={(1,3),(1,4),(2,3),(2,4),(3,1),(3,4)},

Determine which of these statements are correct.
Check ALL correct answers below.


A. R4R4 is symmetric
B. R2R2 is reflexive
C. R1R1 is reflexive
D. R5R5 is transitive
E. R4R4 is transitive
F. R3R3 is symmetric
G. R3R3 is transitive
H. R2R2 is not transitive
I. R6R6 is symmetric
J. R5R5 is not reflexive
K. R3R3 is reflexive
L. R1R1 is not symmetric
M. R4R4 is antisymmetric

Suppose that
R1 = {(2,2), (2, 3), (2, 4), (3, 2), (3, 3), (3,4)},
R2 = {(1, 1), (1,2), (2, 1), (2, 2), (3, 3), (4, 4)},
R3 = {(2,4), (4, 2)} ,
R4 = {(1,2), (2, 3), (3, 4)},
R5 = {(1, 1), (2,2), (3, 3), (4, 4)},
R6 = {(1,3), (1,4), (2, 3), (2, 4), (3, 1), (3,4)},
Determine which of these statements are correct.
Check ALL correct answers below.
A. R4 is symmetric
B. R2 is reflexive
C. R1 is reflexive
D. R5 is transitive
E. R4 is transitive
F. R3 is symmetric
G. R3 is transitive
H. R2 is not transitive
|I. R6 is symmetric
J. R5 is not reflexive
K. R3 is reflexive
L. R1 is not symmetric
M. R4 is antisymmetric
Transcribed Image Text:Suppose that R1 = {(2,2), (2, 3), (2, 4), (3, 2), (3, 3), (3,4)}, R2 = {(1, 1), (1,2), (2, 1), (2, 2), (3, 3), (4, 4)}, R3 = {(2,4), (4, 2)} , R4 = {(1,2), (2, 3), (3, 4)}, R5 = {(1, 1), (2,2), (3, 3), (4, 4)}, R6 = {(1,3), (1,4), (2, 3), (2, 4), (3, 1), (3,4)}, Determine which of these statements are correct. Check ALL correct answers below. A. R4 is symmetric B. R2 is reflexive C. R1 is reflexive D. R5 is transitive E. R4 is transitive F. R3 is symmetric G. R3 is transitive H. R2 is not transitive |I. R6 is symmetric J. R5 is not reflexive K. R3 is reflexive L. R1 is not symmetric M. R4 is antisymmetric
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